In: Statistics and Probability
A sociologist is interested in the effects of select media exposure on young adult (18+) political opinion. In a national survey of young adult political opinions (ranging from 0 [far left] to 1 [far right]) earlier this year, the mean political opinion score was 0.29. A recent survey of 400 randomly selected LSU students found a mean political opinion score of 0.62, with a sample standard deviation of 0.15.
a) Is the difference significant (α=0.05)? Show all details of the test. (assumptions, hypotheses, test statistics, t critical, and conclusion)